# Algebraic Expressions

# Independent and Dependent Variables Exercises

### Example 1

Ruth gets $2 every time she helps her dad gather sticks in the yard. Apparently, there is a major stick epidemic in their neighborhood. Let *t* be the number of times Ruth helps her dad gather sticks in the yard, and let *R* be the amount of money Ruth gets for picking up the sticks. What is the relationship between *R* and *t*?

### Example 2

Ruth gets $2 every time she helps her dad gather sticks in the yard. Apparently, there is a major stick epidemic in their neighborhood. Let *t* be the number of times Ruth helps her dad gather sticks in the yard, and let *R* be the amount of money Ruth gets for picking up the sticks. Does *R* depend on *t* or does *t* depend on *R*?

### Example 3

Ruth gets $2 every time she helps her dad gather sticks in the yard. Apparently, there is a major stick epidemic in their neighborhood. Let *t* be the number of times Ruth helps her dad gather sticks in the yard, and let *R* be the amount of money Ruth gets for picking up the sticks. Why are *R* and *t* good letters to use as variables for this problem?